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      Question

      A solid cylinder has total surface area of 1848 sq.cm.

      Curved surface area is 1/3rd of its total surface area. The volume of the cylinder is:
      A 4312 cm³ Correct Answer Incorrect Answer
      B 6486 cm³ Correct Answer Incorrect Answer
      C 5116 cm³ Correct Answer Incorrect Answer
      D 6056 cm³ Correct Answer Incorrect Answer

      Solution

      Curved surface area = 1/3 × Total surface area 2πrh = 1/3 × 2πr(h + r) 3h = h + r 2h = r Total surface area ⇒ 2πr (h + r) = 1848 2 × 22/7 × 2h (h + 2h) = 1848 h (h+2h) = 147 h² + 2h² = 147 3h² = 147 h² = 49 h = 7 R = 14 Volume of cylinder = πr²h ⇒ 22/7 × 14 × 14 × 7 ⇒ 4312 cm³

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